Displaying similar documents to “An identity involving Dedekind sums and generalized Kloosterman sums”

A note on the mean value of the general Kloosterman sums

Weili Yao (2011)

Czechoslovak Mathematical Journal

Similarity:

The main purpose of this paper is to use the analytic method to study the calculating problem of the general Kloosterman sums, and give an exact calculating formula for it.

A hybrid mean value related to certain Hardy sums and Kloosterman sums

Xiaoyan Guo, Wenpeng Zhang (2011)

Czechoslovak Mathematical Journal

Similarity:

The main purpose of this paper is using the mean value formula of Dirichlet L-functions and the analytic methods to study a hybrid mean value problem related to certain Hardy sums and Kloosterman sums, and give some interesting mean value formulae and identities for it.

On the mean value of Dedekind sum weighted by the quadratic Gauss sum

Tingting Wang, Wenpeng Zhang (2013)

Czechoslovak Mathematical Journal

Similarity:

Various properties of classical Dedekind sums S ( h , q ) have been investigated by many authors. For example, Wenpeng Zhang, On the mean values of Dedekind sums, J. Théor. Nombres Bordx, 8 (1996), 429–442, studied the asymptotic behavior of the mean value of Dedekind sums, and H. Rademacher and E. Grosswald, Dedekind Sums, The Carus Mathematical Monographs No. 16, The Mathematical Association of America, Washington, D.C., 1972, studied the related properties. In this paper, we use the algebraic...